A to Z Exams

If |x|

If nεN, n is odd then n(n2-1) is divisible by

If the middle term of (1+x)2n is 1.3.5...(2n-1)k/n! then k=

The general term of (2a-3b)-1/2 is

The coefficient of xr in (1+x)2/(1-2x)3 is

49n+16n+k is divisible by 64 for n?N. Then the numerically least –ve integer value of k is

The coefficient of xr (0

nC0+nC1+nC2+………+nCn =

If the 5th term is 24 times the 3rd term in the expansion of (1+x)11 then x=

If Tr+1 is the term independent of x in (3x-5/x3)8 then r=

The 4th term of (1-2x)-1 when x=1/3 is

If xr occurs in the expansion (x+1/x2)2n, then its coefficient is:

The sum of the coefficients of (1+2x-4x2)35 is

The number of non zero terms in the expansion of (x+a)100 + (x-a)100 is

If (3 + 4i) is a root of x2+px+q=0, then (p, q) is:

The term independent of x in the expansion of (1+x+2x3)(3x2/2-1/3x/)9 is

The number of terms in the expansion of (a+b+c+d)5 is

The coefficient of x2 in1+x2/(1-x)3 is

If p and q are the coefficients of xn in (1+x)2n-1 and (1+x)2n respectively then 2p=

C0+C1/2+C3/3+ …………Cn/n+1+ =

The positive integer which is just greater than (1+0.0001)10000 is

The coefficient of x10 in 1-2x+3x2/1-x is

C1/1 – C2/2 + C3/3 – C4/4 +………. +(-1)n-1 Cn/n =

The coefficient of x5 in the expression of (1+x)21+(1+x)22+……+(1+x)30 is

The coefficient of x7 in (ax2-1/bx)11  is equal to the coefficient of x-7 in (ax-1/bx2) then ab=

The number of non zero terms in the expansion of (8+2)101 - (8-2)101 is

The coefficients of three consecutive terms in the expansion of (1+x)n are in the ratio 1:7:42, then n=

Which term of (2x-3y)12 when x=1, y=5/2 numerically greatest?

If two consecutive terms in the expansion of (x+a)n are equal where n is a positive integer then (n+1)a/x+a is

If the sum of odd terms and the sum of even terms in the expansion of (x+a)n are p and q respectively then p2+q2=